Phase diagrams of Potts model with competing binary-ternary-quaternary interactions on Cayley tree

THE 4TH INNOVATION AND ANALYTICS CONFERENCE & EXHIBITION (IACE 2019) Pub Date : 2019-08-21 DOI:10.1063/1.5121047

N. Baki, M. Rodzhan

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Abstract

We study the phase diagrams for the Potts model with competing binary, ternary and quaternary interactions on Cayley tree of order 2. At vanishing temperature T, the phase diagram is fully determined for all values of competing binary, ternary and quaternary interactions. We extend the results (for the case Jq = 0) obtained by Ganikhodjaev and Mohd Rodzhan [8]. Our results show that the appearance of addition phases: antiferromagnetic and Period 6, in the case of nonzero quaternary interactions for several ranges of the competing parameters.We study the phase diagrams for the Potts model with competing binary, ternary and quaternary interactions on Cayley tree of order 2. At vanishing temperature T, the phase diagram is fully determined for all values of competing binary, ternary and quaternary interactions. We extend the results (for the case Jq = 0) obtained by Ganikhodjaev and Mohd Rodzhan [8]. Our results show that the appearance of addition phases: antiferromagnetic and Period 6, in the case of nonzero quaternary interactions for several ranges of the competing parameters.

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Cayley树上具有竞争性二元-三元-第四纪相互作用的Potts模型相图

研究了二阶Cayley树上具有二元、三元和四元相互作用的Potts模型的相图。在消失温度T下，相图完全确定了竞争的二元、三元和四元相互作用的所有值。我们推广了Ganikhodjaev和Mohd Rodzhan[8]得到的结果(对于Jq = 0的情况)。我们的研究结果表明，在非零四元相互作用的情况下，在竞争参数的几个范围内出现了反铁磁和周期6的附加相。研究了二阶Cayley树上具有二元、三元和四元相互作用的Potts模型的相图。在消失温度T下，相图完全确定了竞争的二元、三元和四元相互作用的所有值。我们推广了Ganikhodjaev和Mohd Rodzhan[8]得到的结果(对于Jq = 0的情况)。我们的研究结果表明，在非零四元相互作用的情况下，在竞争参数的几个范围内出现了反铁磁和周期6的附加相。

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THE 4TH INNOVATION AND ANALYTICS CONFERENCE & EXHIBITION (IACE 2019)

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